The amount of time a person must wait for a train to arrive in a certain town is uniformly distributed between 0 and 40 minutes. Determine the probability density function f(x). Draw a graft of f(x) What is the probability that person must wait less than 8 minutes?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The amount of time a person must wait for a train to arrive in a certain town is uniformly distributed between 0 and 40 minutes.

  1. Determine the probability density function f(x).
  2. Draw a graft of f(x)
  3. What is the probability that person must wait less than 8 minutes?
  4. What is the probability that person must wait more then 30 minutes?
  5. Calculate P(10<x<26), P(x=20) and P(x> 45).
  6. f) Calculate the mean and standard deviations.
  7. What is the 85th percentile.
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